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Answer:
The standard error of the mean (SEM) can be calculated using the formula:
\[ \text{SEM} = \frac{\sigma}{\sqrt{n}} \]
where \(\sigma\) is the standard deviation of the population and \(n\) is the sample size.
Given:
- \(\sigma = 20\) grams
- \(n = 36\)
Substitute these values into the formula:
\[ \text{SEM} = \frac{20}{\sqrt{36}} = \frac{20}{6} = 3.33 \]
So, the standard error of the mean is 3.33 grams.